| Base | Representation |
|---|---|
| bin | 1011111101001010101… |
| … | …0011001111100000000 |
| 3 | 201122011112012001121110 |
| 4 | 2333102222121330000 |
| 5 | 11331123313411220 |
| 6 | 234205231323320 |
| 7 | 20560643306250 |
| oct | 2772252317400 |
| 9 | 648145161543 |
| 10 | 205397794560 |
| 11 | 7a121778142 |
| 12 | 33983380540 |
| 13 | 164a46c955a |
| 14 | 9d26d31960 |
| 15 | 55222a5be0 |
| hex | 2fd2a99f00 |
205397794560 has 864 divisors, whose sum is σ = 806525379072. Its totient is φ = 43621908480.
The previous prime is 205397794549. The next prime is 205397794577. The reversal of 205397794560 is 65497793502.
205397794560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×2053977945602 (a number of 23 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (57).
It is a self number, because there is not a number n which added to its sum of digits gives 205397794560.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 591924307 + ... + 591924653.
It is an arithmetic number, because the mean of its divisors is an integer number (933478448).
Almost surely, 2205397794560 is an apocalyptic number.
205397794560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 205397794560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403262689536).
205397794560 is an abundant number, since it is smaller than the sum of its proper divisors (601127584512).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
205397794560 is a wasteful number, since it uses less digits than its factorization.
205397794560 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 477 (or 444 counting only the distinct ones).
The product of its (nonzero) digits is 14288400, while the sum is 57.
The spelling of 205397794560 in words is "two hundred five billion, three hundred ninety-seven million, seven hundred ninety-four thousand, five hundred sixty".
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